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106411240525 = 52231075233307
BaseRepresentation
bin110001100011010011…
…0101010110001001101
3101011122222112002212111
41203012212222301031
53220412234144100
6120515030104021
710454653422562
oct1430646526115
9334588462774
10106411240525
1141146409a97
1218758aab011
13a05ab541a5
14521671c869
152b7c0066ba
hex18c69aac4d

106411240525 has 48 divisors (see below), whose sum is σ = 139281513984. Its totient is φ = 80488140480.

The previous prime is 106411240487. The next prime is 106411240549. The reversal of 106411240525 is 525042114601.

It is a happy number.

It is not a de Polignac number, because 106411240525 - 223 = 106402851917 is a prime.

It is a super-2 number, since 2×1064112405252 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32175922 + ... + 32179228.

It is an arithmetic number, because the mean of its divisors is an integer number (2901698208).

Almost surely, 2106411240525 is an apocalyptic number.

It is an amenable number.

106411240525 is a deficient number, since it is larger than the sum of its proper divisors (32870273459).

106411240525 is a wasteful number, since it uses less digits than its factorization.

106411240525 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3970 (or 3965 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 31.

The spelling of 106411240525 in words is "one hundred six billion, four hundred eleven million, two hundred forty thousand, five hundred twenty-five".

Divisors: 1 5 23 25 107 115 523 535 575 2461 2615 2675 3307 12029 12305 13075 16535 55961 60145 61525 76061 82675 279805 300725 353849 380305 1287103 1399025 1729561 1769245 1901525 6435515 8138527 8647805 8846225 32177575 39779903 40692635 43239025 185063027 198899515 203463175 925315135 994497575 4256449621 4626575675 21282248105 106411240525